Global dynamics of the Benoît system
Lima, Mauricio Firmino Silva (Universidade Federal do ABC(Brazil). Centro de Matemática Computacâo e Cognicâo)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2014
Abstract:	In this paper we work with a two-degree polynomial differential system in R3 related with the canard phenomena. We show that this system is completely integrable, and we provide its global phase portrait in the Poincaré ball using the Poincaré-Lyapunov compactification.
Grants:	Ministerio de Ciencia e Innovación MTM 2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410 European Commission 316338
Note:	Agraïments: The first author was partially supported by CNPq grant number 200293/2010-9 and Fapesp grant number 2012/12025-5. Both authors are also supported by the joint project CAPES-MECD grant PHB-2009-0025-PC.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Equilibrium point ; First integral ; Invariant manifolds ; Homoclinic orbit ; Heteroclinic orbit ; Poincaré compactification ; Poincaré sphere ; Benoît system
Published in:	Annali di Matematica Pura ed Applicata, Vol. 193 Núm. 4 (2014) , p. 1103-1122, ISSN 1618-1891

DOI: 10.1007/s10231-012-0318-2

Postprint 21 p, 515.2 KB

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